{"id":"https://openalex.org/W3011745541","doi":null,"title":"Some Notes on Neville's Algorithm of Interpolation with Applications to Trigonometric Interpolation","display_name":"Some Notes on Neville's Algorithm of Interpolation with Applications to Trigonometric Interpolation","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W3011745541","mag":"3011745541"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-05741628v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05741628","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MathLAB Journal, 2018","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-05741628","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001273954","display_name":"Shp\u00ebtim Rexhepi","orcid":"https://orcid.org/0000-0001-6720-5009","observed_orcids":["https://orcid.org/0000-0001-6720-5009"]},"institutions":[{"id":"https://openalex.org/I4391012568","display_name":"Mother Teresa University","ror":"https://ror.org/04wnz0192","country_code":"MK","type":"education","lineage":["https://openalex.org/I4391012568"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Rexhepi, Shp\u00ebtim","raw_affiliation_strings":["Mother Theresa University, Republic of Macedonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mother Theresa University, Republic of Macedonia","institution_ids":["https://openalex.org/I4391012568"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044295830","display_name":"Egzona Iseni","orcid":"https://orcid.org/0000-0002-0876-7199","observed_orcids":["https://orcid.org/0000-0002-0876-7199"]},"institutions":[{"id":"https://openalex.org/I4391012568","display_name":"Mother Teresa University","ror":"https://ror.org/04wnz0192","country_code":"MK","type":"education","lineage":["https://openalex.org/I4391012568"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Iseni, Egzona","raw_affiliation_strings":["Mother Teresa University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mother Teresa University","institution_ids":["https://openalex.org/I4391012568"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029615909","display_name":"Bilall I. Shaini","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shaini, Bilall, I","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000239996","display_name":"Tetuta Zenku","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4391012568","display_name":"Mother Teresa University","ror":"https://ror.org/04wnz0192","country_code":"MK","type":"education","lineage":["https://openalex.org/I4391012568"]}],"countries":["MK"],"is_corresponding":false,"raw_author_name":"Zenku, Tetuta","raw_affiliation_strings":["Mother Teresa University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mother Teresa University","institution_ids":["https://openalex.org/I4391012568"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9574999809265137,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9574999809265137,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.039500001817941666,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lagrange-interpolation","display_name":"Lagrange interpolation","score":0.9629999995231628},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"trigonometric interpolation","score":0.996999979019165},{"id":"https://openalex.org/keywords/matlab-implementation","display_name":"MATLAB implementation","score":0.43299999833106995}],"concepts":[{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.9143039584159851},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7582376003265381},{"id":"https://openalex.org/C143542097","wikidata":"https://www.wikidata.org/wiki/Q3153554","display_name":"Inverse quadratic interpolation","level":5,"score":0.7054585814476013},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.6979526281356812},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.6566931009292603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.626960277557373},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6177326440811157},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.6011061072349548},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5388491153717041},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.4871060848236084},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.4837743937969208},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.47389522194862366},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.4111028015613556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4100151062011719},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3556186556816101},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3130917251110077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22158238291740417},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16191929578781128},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.10994639992713928},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.09520697593688965},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.062089115381240845},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:HAL:hal-05741628v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05741628","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MathLAB Journal, 2018","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-05741628v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05741628","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"MathLAB Journal, 2018","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2154087189","https://openalex.org/W1969464934","https://openalex.org/W2163356401","https://openalex.org/W2746283145","https://openalex.org/W2493971555","https://openalex.org/W2026144771","https://openalex.org/W4387400746","https://openalex.org/W2086940999","https://openalex.org/W4236929084","https://openalex.org/W2149034414"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"is":[3,11],"given":[4],"a":[5,18,59],"description":[6],"of":[7,20,23,34,42,44,51],"Neville's":[8,52],"algorithm":[9,38],"which":[10],"generated":[12],"from":[13],"Lagrange":[14,32,77],"interpolation":[15,78,81],"polynomials.":[16],"Given":[17],"summary":[19],"the":[21,31,45,49,71,76],"properties":[22],"these":[24],"polynomials":[25,33],"with":[26],"some":[27],"applications.":[28],"Then,":[29],"using":[30,58],"lower":[35],"degrees,":[36,47],"Neville":[37],"allows":[39],"recursive":[40],"computation":[41],"those":[43],"larger":[46],"including":[48],"adaption":[50],"method":[53],"to":[54],"trigonometric":[55],"interpolation.":[56],"Furthermore,":[57],"software":[60],"application,":[61],"such":[62],"as":[63],"in":[64],"our":[65],"case,":[66],"Matlab,":[67],"we":[68],"will":[69],"show":[70],"numerical":[72],"experiments":[73],"comparisons":[74],"between":[75],"and":[79,83],"Neville`s":[80],"methods":[82],"conclude":[84],"for":[85],"their":[86],"advantages":[87],"or":[88],"disadvantages.":[89]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2020-03-23T00:00:00"}